Topics
11. Quadratic Equations
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United States of America
Grades 9-12

11.01 Solving using graphs and tables

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

A graph of the parabola $y=x^2+3x-10$y=x2+3x−10 is shown below.

Does the equation $x^2+3x-10=0$x2+3x−10=0 have real or non-real solutions?

Loading Graph...
A Coordinate plane with an upward facing parabola $x^2+3x-10$x2+3x−10 passing through the coordinate grid with x-axis ranges from $-8$−8 to $8$8 and y-axis ranges from $-20$−20 to $20$20. The vertex of the parabola is lies below the x-axis, showing the minimum value of the function but not marked and not explicitly labeled.

Real

A

Non-real

B
Medium
< 1min

A graph of the parabola $y=-x^2+4x+4$y=−x2+4x+4 is shown below.

Does the equation $-x^2+4x+4=0$−x2+4x+4=0 have real or non-real solutions?

Medium
< 1min

A graph of the parabola $y=x^2-6x+15$y=x2−6x+15 is shown below.

Does the equation $x^2-6x+15=0$x2−6x+15=0 have real or non-real solutions?

Medium
< 1min

A table of values for the quadratic $y=x^2+7x+12$y=x2+7x+12 is shown below.

Medium
< 1min
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Outcomes

HSA.CED.A.1

Create equations and inequalities in one variable and use them to solve problems.

HSA.CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

HSA.REI.B.4

Solve quadratic equations in one variable.

HSF.IF.C.7.A

Graph linear and quadratic functions and show intercepts, maxima, and minima.

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